间距比对双振子局域共振轴纵振带隙的影响  

Effects of spacing ratio on the elastic wave band gaps in longitudinal vibration of locally resonant shaft with double resonators

作　　者：赵帅[1] 陈前[1] 姚冰[1] 

机构地区：[1]南京航空航天大学机械结构力学及控制国家重点实验室,江苏南京210016

出　　处：《振动工程学报》2017年第4期570-576,共7页Journal of Vibration Engineering

基　　金：江苏高校优势学科建设工程资助项目;中央高校基本科研业务费专项资金资助项目;江苏省普通高校研究生科研创新计划资助项目(KYLX_0242)

摘　　要：对双振子局域共振轴纵向振动的带隙行为进行了研究,采用传递矩阵法推导得到了双振子局域共振轴纵振能带结构关系的解析表达式,对双振子局域共振轴的带隙进行了计算。结果表明在振子总质量相同的情形下,双振子局域共振轴相比于单振子而言能够拓宽带隙宽度。此外,针对振子间距比对双振子局域共振带隙特性的影响进行了分析。研究发现:尽管原胞的晶格常数保持不变,然而振子间距比会对各带隙的宽度产生影响,带隙极大宽度发生条件为振子间距比θ=0.5或θ=1(θ=0)时;在一些情形下,适当的间距比可以使得局域共振带隙之间产生带隙融合现象,进而形成一个超宽带隙;对于双振子局域共振轴,布拉格带隙边界频率不完全取决于晶格常数,而且还同振子间距比相关。The longitudinal vibration band gap property of locally resonant（LR）shaft with double resonators is studied using the transfer matrix method.The band structure of the LR shaft is calculated.It is found that a LR shaft with double resonators can have a broader band gaps than that with single resonator.Furthermore,the effect of the spacing ration on the band gaps is studied.It is shown that the spacing ratio can have an influence on the width of band gap and the width of band gap turns to the maximum only as orθ=0.5 orθ=1（θ=0）.Furthermore,for some LR shafts,aphenomenon of band gap mergence can be observed as the spacing ratio is properly set,giving rise to a super-wide gap.In addition,it is found that Bragg scattering gap edge frequencies of LR shaft with double arrays of resonators may not only depend on the lattice constant,but also the spacing ration.

关 键 词：减振 声子晶体 局域共振 双振子 带隙 

分 类 号：TB532[理学—物理]